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Finding the Fourth Proportional to 2,692.02, 3,713.67 and 1,642.26

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Solution

The fourth proportional to 2,692.02, 3,713.67 and 1,642.26 is: 2,265.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.02 : 3,713.67 = 1,642.26 : x
  2. Step 2: Convert to fraction form
    2,692.02/3,713.67 = 1,642.26/x
  3. Step 3: Cross multiply
    2,692.02x = 3,713.67 × 1,642.26
  4. Step 4: Simplify right side
    2,692.02x = 6,098,811.69
  5. Step 5: Solve for x
    x = 6,098,811.69/2,692.02
  6. Step 6: Final answer
    x = 2,265.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.